The value of e from the given equation is -1.78
Linear functionsLinear functions are function that has a leading degree of 1
Given the expression below;
0.75(8+e)=2-1.25e
Expand to have;
0.75(8) + 0.75e = 2-1.25e
6 + 0.75e = 2 - 1.5e
6-2 = -1.5e - 0.75e
4 = -2.25e
e = 4/-2.25
e = -1.78
Hence the value of e from the given equation is -1.78
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HELP ASAP I WILL GIVE 30 points to whoever can show their work!
Answer:
Step-by-step explanation:
sin(A)=2/5
[tex]cos^2(A) +sin^2(A)=1\\cos^2(A)+[\frac{2}{5}]^2=1\\cos^2(A)+\frac{4}{25}=1\\ cos^2(A)=1-\frac{4}{25}\\ cos^2(A)=\frac{21}{25}\\ cosA=\frac{\sqrt{21} }{5}[/tex]
Every day a new puzzle is downloaded into Ken's account. Right now, there are 27 puzzles in his account. The function N ( d ) = 27 + d represents the relation between the number of puzzles, N , and the time, d , measured in days.
Answer:
What's the question?
Step-by-step explanation:
which is the graph of the function y=4x^2-8x+7
Find the difference.
8518- 2259 =
the correct answer is 6259
which box and whiskers plot matches the data, 23, 32, 20, 13, 27, 36, 29, 38 23, 15, 30, 18, please its a test
Answer:
Option C
Step-by-step explanation:
Given the data set, 23, 32, 20, 13, 27, 36, 29, 38, 23, 15, 30, 18, to find out which box-and-whisker plot matches the data, let's work out the 5-number summary needed for constructing a box plot.
The five-number summary includes the min, Q1, median, Q3 and max value.
Let's find them.
First, order the data set from the least to the largest
13, 15, 18, 20, 23, 23, 27, 29, 30, 32, 36, 38
Min = 13
Max = 38
Median = (23 + 27) ÷ 2 = 50 ÷ 2 = 25
Q1 = (18 + 20) ÷ 2 = 38 ÷ 2 = 19
Q3 = (30 + 32) ÷ 2 = 62 ÷ 2 = 31
The box-and-whiskers plot will have the description given in option C.
Drag the decimal values to match the corresponding fraction values.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
1/3 =
1/2 =
1/4 =
3/4 =
2/3 =
to choose from: 0.50 0.75 0.25 0.66 0.33
please help
[tex]1/3 \longrightarrow 0.33 \\ \\ 1/2 \longrightarrow 0.50 \\ \\ 1/4 \longrightarrow 0.25 \\ \\ 3/4 \longrightarrow 0.75 \\ \\ 2/3 \longrightarrow 0.66[/tex]
ng Task 4. Select appropriate numbers divisible by 2, our answer on your notebook. isible by 2 Divisible by 5 105 238 400 906 260 360 450 745 110 270 110 565 105 85 390 210 Divisible E 260 390 450 400 400 110 775 260 450 210 105 54 450 270 210 766 183 553 365 390 775 906 34 260 745 745 400 438 321 238 85 360 110 565 347
Answer:
238, 400, 906, 360, 450, etc. and all numbers ending in 0, 2, 4, 6, 8.
Step-by-step explanation:
All even numbers are divisible by 2.
An even number is an integer whose ones digit is a 0, 2, 4, 6, o5 8.
Evaluate the expression a•b for a =24 and b=8
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{a\times b}}[/tex]
[tex]\mathsf{= 24\times8}[/tex]
[tex]\mathsf{= 192}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{192}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
According to a recent study, the number of prisoners in a prison decreased by 312 inmates over a one-year period. If the decrease was the
same for each of the 12 months, write the monthly decrease as a quotient of integers and find the monthly decrease.
The expression to find the monthly decrease in prisoners is.
(Do not simplify.)
The number of inmates in the prison decreased by inmates per month.
(Simplify your answer.)
Over a year, a prison's population dropped by 312 inmates. We know that 1 Year = 12 Months.
Additionally, considering that each of the 12 months declined at the same rate.
the Monthly decrease in members = 312 / 12 = 26
Therefore, the expression used to calculate the monthly drop in prisoner population = Number of prisoners decreased per year / Number of months
Note: If the monthly drop rate is the same, the aforementioned equation is correct ( for all months in that year)
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can someone help me please
Answer:
A(-9/2, 0)B(1, 0)C(0, -9)Step-by-step explanation:
Given the quadratic equation y = 2x² +7x -9, you want the coordinates of the x- and y-intercepts.
X-interceptsThe values of x where y=0 can be found by factoring the equation.
y = (2x +9)(2x -2)/2 = (2x +9)(x -1)
The constants 9 and -2 in the binomial terms are factors of the product of leading and trailing coefficients (2)(-9) = -18. Those factors are chosen because their sum is 7, the middle coefficient.
The x-intercepts are the values of x that make these factors zero:
2x +9 = 0 ⇒ x = -9/2
x -1 = 0 ⇒ x = 1
Points A and B are ...
A(-9/2, 0)B(1, 0)Y-interceptThe y-value at point C is where x=0. It is the constant in the quadratic equation.
y = 2(0²) +7(0) -9 = -9
Point C is ...
C(0, -9)Question 4/5
At East Village High School, 8% of the members of the men's cross
country team are left-handed, while an astounding 30% of the
members of the women's cross country team are left-handed. There are
75 runners on the men's team and 70 on the women's team. What is the
total number of women and men who run cross country at East Village
high school who are right-handed?
Answer:
27 people
Step-by-step explanation:
6 is for the men and 21 women
Can you solve this
5 is multiplied by the cube of a number
Step-by-step explanation:
We will assume “a number” is “a”. When it is cubed it will be represented by
= “a³”.
When we multiply the number with 5 then the new cube will be
= (5a)³
Now distribute the exponent to the factors inside the parentheses.
= 125a³
What happens in the parentheses is 5*5*5 = 125
a*a*a = a³
So by multiplying your number with 5 it gets increased by 125 times.
one driver had lap speeds of 195.3 mph, 190.456 mph,193.557 mph, and 192.575 mph. What was the driver's average speed for the laps driven?
The driver’s average speed for the laps driven is 192.972mph
The formula for average speed is given below:
Average speed = (Sum of the lap speeds driven by the driver) / (Total number of the lap speed driven by the driver)
Sum of the lap speed = 195.3 + 190.456 + 193.557 + 192.575 mph
= 771.888 mph
Number of lap speed driven by the driver = 4
Now putting the required values in the formula of average speed we get
Average speed = 7771.888/4 mph
= 192.972 mph
Hence the driver’s average speed for the laps driven is 192.972mph
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Are these a function or not? Then state the domain and range.
Answer:
B. Not a function; does not pass the vertical line test
C. Is a function; does pass vertical line test
Domain of B: -3 to 1
Range of B: -1 to 4.5
Domain of C: -3 to 6
Range of C: -4 to 2
Step-by-step explanation:
What is vertical line test?
Vertical line test is when you draw vertical lines (up and down) on the line. If two points are on one line, that means it is not a function. B has a lot of lines that have the same X so that is why it is not a function.
What is domain and range? Domain is the x values and Range is the Y values. So you will want to put the numbers between where the y starts and stop.
f(x) = x² + 2x - 3
Find f(2)
Answer:
5
Step-by-step explanation:
f(2) = (2)^2 +2(2) - 3
f(2) = 4 + 4 - 3
f(2) = 8 - 3
f(2) = 5
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Paula refills the flour bin after it has been empty for a while. She pours in the flour at a constant rate. She stops pouring flour when the bin is full.
Which graph could represent this scenario?
Answer:
a
Step-by-step explanation:
because the chart matches the scenario
Jose must choose a number between 49 and 95 that is a multiple of 2, 6, and 8. Write all the numbers he could choose. If there is more than one number separate them with commas
Jose chooses variety between 49 and 95 that's a multiple of 2 , 6, and 8. is 72
The least integer is additionally referred to as lowest common multiple (or) the bottom integer in scientific discipline. the smallest amount integer} of 2 or additional numbers is that the smallest number among all common multiples of the given numbers.By victimization the prime factorization methodology we are able to resolve the lowest common multiple of the given numbers. To calculate the lowest common multiple of 2 numbers victimization the prime factorization methodology, we have a tendency to use the steps given below:
Step 1: notice the prime factors of the given numbers by recurrent division methodology.
Prime factorization of 2 is given by
2 = 2 × 1
Prime factorization of 6 is is given by
6 = 2 × 3
Prime factorization of 8 is given by
8 = 2 × 2 × 2
Step 2: Write the numbers in their exponent type. notice the merchandise of solely those prime factors that have the best power.
Prime factorization of 2 is given by
2 = 2
Prime factorization of 6 is is given by
6 = 2 × 3
Prime factorization of 8 is given by
8 = 2³
Step 3: the merchandise of those factors with the best powers is that the lowest common multiple of the given numbers.
LCM will be = 2 × 3 × 2²
LCM of 2,6 and 8 = 24
Multiples of 24 between 49 and 95 is 72
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The lowest form of this fraction 49/100
The lowest form of this fraction 49/100 is still 49/100.
How to compute the value?It should be noted that a fraction can only be reduced to its lowest term if it has a common factor.
In this case, there is no common factor between 49 and 100.
Therefore, the lowest form of this fraction 49/100 is still 49/100
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24= 8 + 2 (y - 10)
step by step pls
Answer:
18
Step-by-step explanation:
Distribute the 2 to the terms inside the parenthesis.
24=8+2y-20
Combine like terms
24=2y-12
Add 12 to 24
36=2y
Divide by 2
18=y
Answer:
18
Step-by-step explanation:
24 = 8 + 2 (y-10)
24-8 = 8 + 2 (y-10) -8
16 = 2 (y-10)
16 = 2y - 20
16 + 20 = 2y -20 + 20
36 = 2y
36/2 = 2y/2
18 = y
Melissa is simplifying an expression using the order of operations. She adds 3 and 4, squares the result, and subtracts 9. Which expression is Melissa simplifying? (3+4-9)², 3+4²-9, 3²+4²-9, (3+4)² - 9
we get that Melissa is trying to solve the expression ( 3 + 4) ² - 9.
We are given that:
Melissa is simplifying an expression using the order of operations which can be addition, subtraction, multiplication or division.
She adds 3 and 4, squares the result, and subtracts 9.
We will first add 3 and 4:
3 + 4
Now we will square them:
( 3 + 4) ²
Now, we will subtract 9 from it:
( 3 + 4) ² - 9
So, the expression becomes:
( 3 + 4) ² - 9
Therefore, we get that Melissa is trying to solve the expression ( 3 + 4) ² - 9.
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(z^1)^2
Its Khan Academy I need help ASAP.
ASAP HELP PLEASE!!!!
Answer:
x^21/5
Step-by-step explanation:
To change this expression to an expression with a rational exponent, we need to change the radical to a rational (fractional) exponent. Just as square root is a one half power and cuberoot is a one-third power, a fifth root is a one-fifth power.
Once the radical is changed to a fraction, we will just use the exponent rule that says when you raise a power to a power, you multiply exponents.
see image.
A bakery is making whole-wheat bread and apple bran muffins. For each batch of break they make $35 profit. For each batch of muffins, they make $10 profit. The break takes 4 hours to prepare and 1 hour to back. The muffins take 0.5 hours to prepare and 0.5 hours to bake. The maximum preparation time available is 16 hours. The maximum bake time available is 10 hours. Let x = # of the batches of bread and y = # of batches of muffins. How many batches of bread and muffins should be made to maximize profits?
4 batches of bread and 0 batches of muffins
4 batches of bread and 0 batches of muffins
2 batches of bread and 16 batches of muffins
2 batches of bread and 16 batches of muffins
4 batches of bread and 10 batches of muffins
4 batches of bread and 10 batches of muffins
1 batch of bread and 12 batches of muffins
The batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins
How many batches of bread and muffins should be made to maximize profits?The given parameters can be represented on the following table
Bread (x) Muffins (y)
Prepare 4 1 16
Bake 0.5 0.5 10
Profit 35 10
The parameters from the above table are
Max P = 35x + 10y
Subject to
4x + y <= 16
0.5x + 0.5y <=10
x, y > 0
Solving the above constraints using a graphing calculator, we have the following points
(x, y) = (4, 0) and (0, 16)
Substitute these values in Max P = 35x + 10y
So, we have
P = 35 x 4 + 10 x 0 = 140
P = 35 x 0 + 10 x 16 = 160
160 is greater than 140
Hence, the batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins
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Yield: 90%
Purchase Unit: 10 boxes = 1 case
Case Weight: 20 lbs
Case Cost: $48.00
Portion Size:5oz
Step 1: Determine number of edible portions (EP)
Step 2: Determine food cost per portion
1. The number of edible portions (EP) is 64.
2. The food cost per portion = $0.75 per portion.
How is the number determined?The number of edible portions can be determined by first converting the case weight in pounds into ounces.
There are 16 ounces in a pound. 20 pounds will equal 320 ounces by multiplication (16 x 20).
Then, divide 320oz by 5oz to determine the number of portions.
Data and Calculations:Yield: 90%
Purchase Unit: 10 boxes = 1 case
Case Weight: 20 lbs
Case Cost: $48.00
Portion Size: 5oz
1lb = 16oz
20lbs = 320oz (20 x 16)
Edible portions (EP) = 64 (320oz/5oz)
Food cost per portion = $0.75 per portion ($48/64).
Thus, the number of edible portions is 64 with the food cost per portion as $0.75.
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A washer and a dryer cost $813
combined. The washer costs $87
less than the dryer. What is the cost of the dryer?
The cost of the dryer will be $450
In the given sum the combined cost of the washer and dryer is $813
let the cost of the dyer be x
the cost of the washer will be (87 - x) as it is mentioned in the question washer costs $87 less than the dryer
According to the problem :
∴ x + (x-87) = 813
=> x+x-87 = 813
=> 2x - 87 = 813
=> 2x = 813 +87
=> 2x = 900
=> x = 900/2
=> x = 450
So the cost of the dryer is $450
The cost of the washer is = x - 87 = 450 - 87 = $363
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Find the value of the x in the triangle shown below. Please help!
Answer:
B x=√28 using Pythagorean theorem
Which expressions are equivalent to the one below? Check all that apply.
25X
A. (5.5)*
B. 52x
C. 5.5x
D. 52.5x
E. 5.52x
F. 5.5X
Answer:
bca
Step-by-step explanation:
5x5=25 5 to the power of 2 is 25 plus the power of x on all of them
Multiplication Burrito
In the multiplication problem below,
find the 2 remaining digits in the
4-digit product. In other words, find
A and B.
X
008
A B 66
A=;B=_
Which expression has the same value as -73 +3/?
The expression come -70
given;
In mathematics, multiplication can be represented by using the symbol × or the symbol ·. Moreover, multiplication can be also represented just by leaving the numbers or values side by side without any symbol. For example, the expression 5x + y implies 5 should be multiplied by x. In this context, the expression indicates -73 + 3
it means ; the number 73 substract from 3 and we get - 70.
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When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.
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The variables y and x have a proportional relationship, and y = 12 when x = 5.
What is the value of y when x = 8?
Answer:
y = 19.2
Step-by-step explanation:
We know there is relationship between y and x, so according to the formula [tex]y = kx[/tex]
k = 12/5
we get one function y = 2.4x
when x = 8, input it into the function,
y = 2.4×8 = 19.2